To address the problem of residual density of states one needs to recollect first the results of classic paper by Abrikosov and Gor'kov [1]} where was introduced the important notion of gapless superconducting state arising in s-wave superconductors with paramagnetic impurities. This theory is also applicable to nonconventional superconductors with ordinary impurities [2]}. In view of anormously large upper critical field in UTe\(_2\)  one must discuss the superconducting states with triplet pairing. The superconducting states with triplet pairing in a metal with orthorhombic structure are related to one of four different representations
of the point group \(D_{2h}\) : \(A_{1u}, B_{1u},B_{2u}, B_{3u}\) . I'll consider \(A_{1u}\)  state the with the order parameter
\({\bf d}_{A}({\bf k})=\Delta (\varphi _{x}\hat{x}+\varphi _{y} \hat{y}+\varphi _{z} \hat{z}).\) 
